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Class 10 Mathematics Polynomials Polynomials in one variableHardLevel 47

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If (p(x)=x^2-9ig), which is the positive value of (aig) for which (p(a)=0ig)?

Answer and explanation

Correct answer: 3

For (p(a)=0ig), we require (a^2-9=0ig), so (a^2=9ig) and (a=\pm3ig). Since the question asks for the positive value, the correct answer is 3. Note that (a=-3ig) is also a zero of the polynomial, but it is not positive. Exam tip: Factor the expression as (x^2-9=(x-3)(x+3)ig) to find its zeros quickly.

Related tags

Polynomials Zeros Of Polynomial Factorisation Difference Of Squares Evaluation

Frequently asked questions

What is the correct answer to this question?

3

Why is this the correct answer?

For (p(a)=0ig), we require (a^2-9=0ig), so (a^2=9ig) and (a=\pm3ig). Since the question asks for the positive value, the correct answer is 3. Note that (a=-3ig) is also a zero of the polynomial, but it is not positive. Exam tip: Factor the expression as (x^2-9=(x-3)(x+3)ig) to find its zeros quickly.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.

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